Schrodinger-Poisson system: Difference between revisions
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The '''Schrodinger-Poisson system''' | The '''Schrodinger-Poisson system''' | ||
<center><math>i v^+_t + \Delta v/2 = u v^+ </math></center> | <center><math>i v^+_t + \Delta v/2 = u v^+ \,</math></center> | ||
<center><math>i v^-_t - \Delta v/2 = u v^- </math></center> | <center><math>i v^-_t - \Delta v/2 = u v^- \,</math></center> | ||
<center><math>\Delta u = - |v^+|^2 + |v^-|^2</math></center> | <center><math>\Delta u = - |v^+|^2 + |v^-|^2\,</math></center> | ||
arises as the [[non-relativistic limit]] of the [[NLW|nonlinear Klein-Gordon equation]]. | arises as the [[non-relativistic limit]] of the [[NLW|nonlinear Klein-Gordon equation]]. | ||
Latest revision as of 20:12, 11 June 2007
The Schrodinger-Poisson system
arises as the non-relativistic limit of the nonlinear Klein-Gordon equation.
